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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Choquet game ： ウィキペディア英語版 Choquet game In mathematics, a Choquet game, introduced by , is a topological game where two players take turns decreasing the size of a non-empty open subset of a topological space, and the first player wins if after an infinite number of moves the open sets have empty intersection. A nonempty topological space where the second player has a winning strategy is called a Choquet space. A nonempty topological space where the first player has no winning strategy is the same as a Baire space, so in particular every Choquet space is a Baire space. However there are separable metric spaces where neither player has a winning strategy, so there are Baire spaces that are not Choquet spaces. Every nonempty complete metric space or nonempty locally compact Hausdorff space is a Choquet space. ==References== * * 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Choquet game」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.